Time‐dependent, force‐free, degenerate electrodynamics

By Komissarov S S. 2002

140 citations recorded by the source corpus.

This paper formulates time-dependent, force-free, degenerate electrodynamics as a hyperbolic system of conservations laws. It is shown that this system has four characteristic modes, a pair of fast waves propagating with the speed of light and a pair of Alfven waves. All of these modes are linearly degenerate. The results of this analytic study can be used in developing upwind numerical schemes for the electrodynamics of black hole and pulsar magnetospheres. As an example, this paper describes a simple one-dimensional numerical scheme based on linear and exact Riemann solvers.

Subfields: Astronomy and Astrophysics, Ocean Engineering

View Paper: https://www.semanticscholar.org/paper/c018c7aca100467e20bade1399819cc13aee5880

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Citations in the corpus

HARM: A Numerical Scheme for General Relativistic Magnetohydrodynamics (2003, background): “For the remaining tests Komissarov’s Table 1 contains several misprints that are corrected in Komissarov (2002b).”
EFFICIENCY OF MAGNETIC TO KINETIC ENERGY CONVERSION IN A MONOPOLE MAGNETOSPHERE (2009, background): “…consider the limit of infinitely high magnetization,ρ → 0, i.e. the force-free limit (Goldreich & Julian 1969; Okamoto 1974; Blandford 1976; Lovelace 1976; Blandford & Znajek 1977; MacDonald & Thorne 1982; Fendt et al. 1995; Komissarov 2001, 2002a,b; McKinney 2006a; Narayan et al. 2007; TMN08).”
Simulations of ultrarelativistic magnetodynamic jets from gamma‐ray burst engines (2008, background): “…& Julian 1969; Okamoto 1974; Blandford 1976; Lovelace 1976; Blandford & Znajek 1977; MacDonald & Thorne 1982; Fendt, Camenzind & Appl 1995; Komissarov 2001, 2002; McKinney 2006a), which corresponds to a magnetically dominated plasma in which particle rest mass and temperature are…”
Beyond ideal MHD: towards a more realistic modelling of relativistic astrophysical plasmas (2008, background): “…the Lorentz force vanishes in this case) and while the equations governing it can be seenas the low-inertia limit of the ideal-MHD equations (Komissarov 2002; McKinney 2006b), the force-free limit is really distinct from the 1 Note that this expression for the electrical conductivity is…”
ECHO: a Eulerian conservative high-order scheme for general relativistic magnetohydrodynamics and magnetodynamics (2007, methodology): “In the present section we summarize the equations of magnetodynamics (Komissarov 2002, 2004) and discuss the few modifications implemented in ECHO for the corresponding GRMD module.”
On the force‐free magnetosphere of an aligned rotator (2005, methodology): “(7) 2 hereafter we use this shorter name for force-free degenerate electrodynamics (see e.g. Komissarov 2002; Blandford 2002, and references there) Obviously |UD| must be less than c, or equivalently E must be less than B. Generally speaking, eq.”
Simulations of the axisymmetric magnetospheres of neutron stars (2006, methodology): “Only recently, the time-dependent equations have been subjected to a systematic study (Uchida 1997; Gruzinov 1999; Komissarov 2002a; Punsly 2001).”
Time-dependent Force-free Pulsar Magnetospheres: Axisymmetric and Oblique Rotators (2006, methodology): “The equations of FFE can be derived as the low-inertia limit of MHD (Komissarov 2002).”
Magnetically Driven Accretion Flows in the Kerr Metric. II. Structure of the Magnetic Field (2003, background): “It is often asserted (in fact, frequently in connection with studies of the Blandford-Znajek mechanism) that the magnetospheres of black holes should be, in large part, effectively forcefree (e.g., Okamoto 1992, Ghosh & Abramowicz 1997, Ghosh 2000, Park 2000, Blandford 2002, Komissarov 2002).”
Explosive reconnection in magnetars (2003, background): “In ideal force-free electrodynamics the condition E · B = 0 reduced a number of equations to 4 (Komissarov 2002, Lyutikov & Blandford 2003).”
Electromagnetic Extraction of Energy from Kerr Black Holes (2005, background): “Against that, Punsly developed extensive analyses of information communication by the forcefree waves (Punsly 2001, 2003; Punsly, Bini 2004; see also Komissarov 2002a).”
The physics of gamma-ray bursts & relativistic jets (2014, background): “A class of magnetic jet models has been developed that is based on the forcefree electrodynamics approximation (or “magnetodynamics”) in which the plasma inertia is ignored e.g. Komissarov (2002).”
Electrodynamics of black hole magnetospheres (2004, background): “This is one of the reasons for the renewed interest towards the theory of force-free electrodynamics (Blandford 2001; Komissarov 2002a).”